Stability index of real varieties.
Stabilizability of multi-agent systems over finite fields via fully actuated system approaches
The problem of stabilizability of high-order fully actuated (HOFA) multi-agent systems over finite fields is considered in this paper. The necessary and sufficient conditions for the stabilizability of HOFA multi-agent systems are presented, which indicates the stabilizability is closely related to the interaction topology among agents. Using the full-actuation property of HOFA models, a stabilization control protocol with neighbor interaction is given for HOFA multi-agent systems. Additionally,...
Stochastic multivariable tracking: A polynomial equation approach
Stokes phenomenon, multisummability and differential Galois groups
We precise the cohomological analysis of the Stokes phenomenon for linear differential systems due to Malgrange and Sibuya by making a rigid natural choice of a unique cocycle (called a Stokes cocyle) in every cohomological class. And we detail an algebraic algorithm to reduce any cocycle to its cohomologous Stokes form. This gives rise to an almost algebraic definition of sums for formal solutions of systems which we compare to the most usual ones. We also use this construction to the Stokes cocycle...
Strict topologies in non-archimedean function spaces.
Strictly analytic functions on p-adic analytic open sets.
Let K be an algebraically closed complete ultrametric field. M. Krasner and P. Robba defined theories of analytic functions in K, but when K is not spherically complete both theories have the disadvantage of containing functions that may not be expanded in Taylor series in some disks. On other hand, affinoid theories are only defined in a small class of sets (union of affinoid sets) [2], [13] and [17]. Here, we suppose the field K topologically separable (example Cp). Then, we give a new definition...
Strong normality and normality for difference fields.
Structure de Frobénius des équations différentielles -adiques
Structure de Frobenius faible pour les équations différentielles du premier ordre
Structure fuchsienne pour des modules différentiels sur une polycouronne ultramétrique
Structure galoisienne des groupes d'unités et des groupes des classes d'un anneau d'entiers
Structure theorems for radical extensions of fields
Subfields of cyclic p-extensions of K(x).
Subfields of henselian valued fields
Let (K,v) be a henselian valued field of arbitrary rank which is not separably closed. Let k be a subfield of K of finite codimension and be the valuation obtained by restricting v to k. We give some necessary and sufficient conditions for to be henselian. In particular, it is shown that if k is dense in its henselization, then is henselian. We deduce some well known results proved in this direction through other considerations.
Subfields of lattice-ordered fields that mimic maximal totally ordered subfields
Subgroups and hulls of Specker lattice-ordered groups
In this article, it will be shown that every -subgroup of a Specker -group has singular elements and that the class of -groups that are -subgroups of Specker -group form a torsion class. Methods of adjoining units and bases to Specker -groups are then studied with respect to the generalized Boolean algebra of singular elements, as is the strongly projectable hull of a Specker -group.
Subgroups of finite index in an additive group of a ring.
Subrings in trigonometric polynomial rings.
Súčasné trendy v algebre
Súčasné trendy v algebre [Dokončenie]